package base;

/**
 * @author mazouri
 * @create 2021-12-28 16:28
 */
public class _5_minDistance_dp {
    public int minDistance(String word1, String word2) {
        int len1 = word1.length();
        int len2 = word2.length();
        int[][] dp = new int[len1 + 1][len2 + 1];

        for (int i = 0; i <= len1; i++) {
            dp[i][0] = i;
        }

        for (int i = 0; i <= len2; i++) {
            dp[0][i] = i;
        }

        for (int i = 1; i <= len1; i++) {
            char ch = word1.charAt(i - 1);
            for (int j = 1; j <= len2; j++) {
                if (ch == word2.charAt(j - 1)) dp[i][j] = dp[i - 1][j - 1];
                else dp[i][j] = Math.min(dp[i - 1][j - 1], Math.min(dp[i][j - 1], dp[i - 1][j])) + 1;
            }
        }

        return dp[len1][len2];
    }
}
